128336400 has 300 divisors, whose sum is σ = 489775572. Its totient is φ = 32071680.

The previous prime is 128336399. The next prime is 128336401. The reversal of 128336400 is 4633821.

It is a happy number.

128336400 is a `hidden beast` number, since 12 + 8 + 3 + 3 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128336399) and next prime (128336401).

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 125350416 = 1728^2 + 11196^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128336401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 550684 + ... + 550916.

Almost surely, 2^128336400 is an apocalyptic number.

128336400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244887786).

128336400 is an abundant number, since it is smaller than the sum of its proper divisors (361439172).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

128336400 is a wasteful number, since it uses less digits than its factorization.

128336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 128336400 is about 11328.5656638429. The cubic root of 128336400 is about 504.4095310862.

The spelling of 128336400 in words is "one hundred twenty-eight million, three hundred thirty-six thousand, four hundred".